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32313440232 = 23322323972137
BaseRepresentation
bin11110000110000001…
…111111011111101000
310002101222102211202200
4132012001333133220
51012134220041412
622502233100200
72222520465363
oct360601773750
9102358384680
1032313440232
1112782104a07
126319857660
13307c764948
1417c77b50da
15c91ca29dc
hex78607f7e8

32313440232 has 144 divisors (see below), whose sum is σ = 91759389540. Its totient is φ = 10272075264.

The previous prime is 32313440213. The next prime is 32313440261. The reversal of 32313440232 is 23204431323.

It can be written as a sum of positive squares in 2 ways, for example, as 31055603076 + 1257837156 = 176226^2 + 35466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32313440196 and 32313440205.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15119868 + ... + 15122004.

Almost surely, 232313440232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32313440232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45879694770).

32313440232 is an abundant number, since it is smaller than the sum of its proper divisors (59445949308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32313440232 is a wasteful number, since it uses less digits than its factorization.

32313440232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 32313440232 its reverse (23204431323), we get a palindrome (55517871555).

The spelling of 32313440232 in words is "thirty-two billion, three hundred thirteen million, four hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 397 414 529 552 794 828 1058 1191 1587 1588 1656 2116 2137 2382 3174 3176 3573 4232 4274 4761 4764 6348 6411 7146 8548 9131 9522 9528 12696 12822 14292 17096 18262 19044 19233 25644 27393 28584 36524 38088 38466 49151 51288 54786 73048 76932 82179 98302 109572 147453 153864 164358 196604 210013 219144 294906 328716 393208 420026 442359 589812 630039 657432 840052 848389 884718 1130473 1179624 1260078 1680104 1696778 1769436 1890117 2260946 2520156 2545167 3391419 3393556 3538872 3780234 4521892 5040312 5090334 6782838 6787112 7560468 7635501 9043784 10174257 10180668 13565676 15120936 15271002 19512947 20348514 20361336 27131352 30542004 39025894 40697028 58538841 61084008 78051788 81394056 117077682 156103576 175616523 234155364 351233046 448797781 468310728 702466092 897595562 1346393343 1404932184 1795191124 2692786686 3590382248 4039180029 5385573372 8078360058 10771146744 16156720116 32313440232